From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/450 Path: news.gmane.org!not-for-mail From: categories Newsgroups: gmane.science.mathematics.categories Subject: Preprints available Date: Wed, 6 Aug 1997 08:46:35 -0300 (ADT) Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-Trace: ger.gmane.org 1241016974 25828 80.91.229.2 (29 Apr 2009 14:56:14 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 14:56:14 +0000 (UTC) To: categories Original-X-From: cat-dist Wed Aug 6 08:48:21 1997 Original-Received: by mailserv.mta.ca; id AA19424; Wed, 6 Aug 1997 08:46:35 -0300 Original-Lines: 33 Xref: news.gmane.org gmane.science.mathematics.categories:450 Archived-At: Date: Tue, 5 Aug 1997 17:19:51 -0400 From: Walter Tholen The following two preprints (joint work with George Janelidze) are available as postscript files from my home page at http://www.math.yorku.ca/Who/Faculty/Tholen/menu.html For titles and abstracts, see below. Walter Tholen -------------------------------------------------------------------------- "Functorial Factorization, Well-pointedness and Separabilty" Abstract: A functorial treatment of factorization structures is presented, under extensive use of well-pointed endofunctors. Actually, so-called weak factorization systems are interpreted as pointed lax indexed endofunctors, and this sheds new light on the correspondence between reflective subcategories and factorization systems. The second part of the paper presents two improtant factorization structures in the context of pointed endofunctors: concordant-dissonant and inseparable-sepaprable. "Extended Galois Theory And Dissonant Morphisms" Abstract: For a given Galois structure on a category C and an effective descent morphism p: E --> B in C we describe the category of so-called weakly split objects over (E,p) in terms of internal actions of the Galois (pre)groupoid of (E,p) with an additional structure. We explain that this generates various known results in categorical Galois theory and in particular two results of M. Barr and R. Diaconescu. We also give an elaborate list of examples and applications.